Classify each polygon by its number of sides.


Drag the choices into the boxes to correctly classify each polygon.

20 points!

I need this fast! please help!​

Answer:

18 degrees. any angle is 90degrees remember that . 18 degrees is your answer ok

➠ ∠QRT + ∠TRS = 90°

➠ 4x + x = 90°

➠ 5x = 90°

➠ x = 90/5

➠ x = 18

The only transformation that would carry rectangle ABCD onto itself is a single rotation of 180 degrees in a parallelogram.

Rectangle ABCD's characteristics and how each transformation affects its orientation and location must be examined in order to identify the collection of reflections and rotations that would carry the rectangle onto itself of a parallelogram.

First, using the provided coordinates, let's determine the sides of the rectangle: AB is parallel to DC, and AD is parallel to BC. Also, we can observe that the lengths of AB and AD are equal to DC and BC, respectively, indicating that the opposite sides are congruent.

The rectangle is first suggested to be rotated 180 degrees. This transformation simply maps each point to its corresponding point on the rectangle; the rectangle's orientation is left unchanged. Hence, rectangle ABCD would be carried onto itself by this transformation alone.

The rectangle is first reflected over the x-axis, rotated 180 degrees, and then reflected once more over the x-axis is the second transformation suggested. This series of transformations flips the rectangle's orientation while mapping each point to its equivalent point on the other side of the rectangle. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The third suggested transformation involves reflecting the rectangle first over the y-axis, then over the line y = x, and then back over the y-axis. The rectangle's orientation is maintained but its position is altered by this series of modifications. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

The rectangle is to be rotated 180 degrees, reflected over the line y = x, and then reflected over the x-axis as the fourth transformation suggested. Each point is moved and mapped to a point on the other side of the rectangle via this series of transformations. The rectangle's orientation is also altered, though. Hence, the rectangle ABCD would not be carried onto itself by this transformation sequence.

Hence, a single 180° rotation is the only transformation that could turn rectangle ABCD upon itself.

In conclusion, we studied the features of the rectangle and the consequences of each transformation on its orientation and location to find the set of reflections and rotations that would transport rectangle ABCD onto itself. In contrast to the other suggested transformations, we discovered that only a single rotation of 180 degrees would keep the rectangle's orientation and location intact.

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think you can do this one! :    )

Answer:

Slope = -1

slope of (1,8) and (-3,12)

Explanation:

Slope = rise/run

Slope = y2 - y1 / x2 - x1

S = 12 - 8 / (-3 - 1)

S = 4 / -4

S = -1

Answer:

18

Step-by-step explanation:

You can use a calculator for this

60%*30=18

or, if you want to solve it by hand, 60% equals 0.6=6/10=3/5

(3/5)*30=90/5=18

Answer:

18

Step-by-step explanation:

have a nice day!!

Answer:   1/2 |x| = -3?

Step-by-step explanation:

A definite integral is a numerical value that represents the area under a curve between two specific endpoints. It is calculated by evaluating the integral over a specific range of values.

True or false: Evaluating a definite integral is always a well-conditioned problem.

Answer: False.

Evaluating a definite integral is not always a well-conditioned problem. A well-conditioned problem refers to a problem in which small changes in the input produce small changes in the output, making the problem stable and easier to solve numerically. In the context of definite integrals, this means that slight variations in the integrand or the limits of integration should result in minor changes in the integral's value.

However, there are cases where evaluating a definite integral becomes an ill-conditioned problem. This occurs when the integrand function or the integration domain have particular features that make the problem sensitive to small changes in input, such as rapidly oscillating functions, singularities, or functions with high gradients. In these cases, small perturbations in the input can lead to significant changes in the output, making the problem ill-conditioned.

To deal with ill-conditioned problems, it is essential to use appropriate numerical methods, such as adaptive quadrature or specialized techniques like the Gauss-Kronrod or Clenshaw-Curtis methods. These methods can help improve the accuracy and stability of the definite integral evaluation in challenging cases.

In conclusion, evaluating a definite integral is not always a well-conditioned problem, as there are situations where the problem becomes ill-conditioned due to specific features in the integrand function or the integration domain.

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Step-by-step explanation:

4/5=0.8

whatever expressions that equals 0.8

Answer:

11 cm

Step-by-step explanation:

1m = 100cm

By examining the graph carefully, we can see that the record in 1985 is 2.4 m. In 1970 it was slightly under 2.3 m. For it to be 15cm it would have to be 2.25m. For it to be 9 cm it would the record would have been above 2.3m.

Answer:

3

Step-by-step explanation:

subsititute the f value which is 2 into the equation so 1+(2)=3

Answer:

If the quantity x doubles in value, the quantity y will also double in value for the ratio between x and y to remain the same.

Step-by-step explanation:

The relationship between x and y can be represented as follows:

y = bx ............................... (1)

Where the constant b represents the ratio between x and y and can be written as follows:

b = y / x ............................ (2)

Since b is a constant and quantity y varies directly with quantity x, equation 2 implies that the ratio between x and y always remain the same.

Therefore, if the quantity x doubles in value, the quantity y will also double in value for the ratio between x and y to remain the same.

For example, if x = 3 and y = 6, we can substitute into equation (2) and solve as follows:

b = 6 / 3 = 2

Now, if the quantity x doubles in value from 3 to 6 (i.e. 3 * 2 = 6), y must also double in value from 6 to 12 (i.e 6 * 2 = 12) so that the ratio between x and y is still equal to 2 as follows:

b = 12 / 6 = 2

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:

d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles

Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:

s = rθ = 55 mi × (10/360) = 1.528 mi

To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:

θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees

So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.

(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":

x = 330 mi - 2(55 mi) = 220 mi

To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:

average speed = total distance / total time

We want the new speed to cover a distance of 220 miles in 60 minutes:

average speed = 220 mi / (60 min / 60) = 220 mi/hr

So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

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For the trigonometric function lim x→(π/2) tan (x), the RHL and LHL are not equal to f(a), hence the limit does not exist.

What is trigonometric function?

Simply put, trigonometric functions also referred to as circular functions are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle.

The given trigonometric function is -

lim x→(π/2) tan (x)

To find the value of trigonometric function use x = π/2.

First deduce the right hand limit (RHL).

Right Hand Limit = lim h→0^+ tan [(π/2) + h]

= lim h→0^+ -cot h

= lim h→0^+ [(-cot h)/h] × h

= -1 × 0 = 0

Now deduce the left hand limit (LHL).

Left Hand Limit = lim h→0^- tan [(π/2) - h]

= lim h→0^- cot h

= lim h→0^- [(cot h)/h] × h

= 1 × 0 = 0

Thus, LHL = RHL.

Left hand limit = right hand limit = f(a)

If the above condition is satisfied then limit exists.

f(π/2) = lim x→(π/2) tan (x)

= tan (π/2)

= ∞

Left hand limit = right hand limit ≠ f(a)

Therefore, the limit does not exist.

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The age of Marissa and her younger brother.

We know that the older brother's age is 18 and he is twice older than the younger brother.

Let the unknown be "x"

\( x=\frac{18}{2} \)

\(\large\boxed{\sf{x=9 \: years}}\)

Now, we know that the younger brother's age is 9 and Marissa is 3 years older than him.

Let the unknown be "x"

\(x=9 + 3\)

\(\large\boxed{\sf{x=12 \: years}}\)

Therefore, Marissa is 12 and her younger brother is 9

Answer:

Marissa's age = 12

Younger brother's age = 9

Step-by-step explanation:

Let age of Marissa be x, and her younger brother's y.

Equations formed :

Finding age of younger brother using Equation 2 :

⇒ 2y = 18

⇒ 2y/2 = 18/2

⇒ y = 9 years old

Substituting y in Equation 1 :

⇒ x = y + 3

⇒ x = 9 + 3

⇒ x = 12 years old

Marissa's age = 12

Younger brother's age = 9

Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer:

y = 4/3x + 1.

Step-by-step explanation:

The equation of the lines passing through (2,1) and (6,7) is:

y - 7 = (7-1)/(6- -2)(x - 6)

y - 7 = 6/8(x - 6)

y = 3/4(x - 6) + 7

y = 3/4x + 5/2.

So the line perpendicular to it has slope -1/3/4 = -4/3:

y - 9 = -4/3(x  + 6)

y = -4/3 x  - 8 + 9

y = 4/3x + 1.

The answer should be .7

Answer:

0.7

Step-by-step explanation:

Step 1:

21÷30= 7÷10

Step 2:

7÷10= 0.7

The area inside of the home is \(452.16 ft^2\)

It is given that circular dwelling has a diameter of 24 feet then , radius will be \(r=\frac{24}{2} =12 \ feet\)

Putting r = 12 feet in equation (1) , we get

       \(A=3.14\times( 12) ^2\\A=3.14\times144\\A= 452.16 ft^2\)

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Since triangle DEF is a scale drawing of triangle ABC, the scale factor used is equal to 1/3.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Mathematically, the scale factor of a geometric object such as a triangle can be calculated by using this formula:

Scale factor = Dimension of image/Dimension of original figure

Substituting the given parameters into the formula, we have the following;

Scale factor = 3/9

Scale factor = 1/3.

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The equation showing the relation between shorter and longer skirt is 3s+4t = 140.

Given that the Scottish dance team used 140 yards of tartan to make dancing skirts.

The skirt pattern for the shorter members is 3- yards of fabric, and the skirt pattern for the taller members is 4 yards of fabric.

So, we need to find the equation represents the relationship between the number of short skirts and the number of long skirts that were made,

So, if there are s short skirts and t long skirts,

So,

The relation will be =

3s + 4t = 140

Hence the equation showing the relation between shorter and longer skirt is 3s+4t = 140.

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Answer:

Zero

Step-by-step explanation:

Let's start by solving the equation.

\(x+5=x\)

Subtract x from both sides

\(5=0\)

Therefore there are no solutions since this is not a true statement.

We are given with an equation and had to choose the correct option from given

We are given with the equation :

\({:\implies \quad \sf x+5=x}\)

Subtract x from both sides

\({:\implies \quad \sf x+5-x=x-x}\)

\({:\implies \quad \sf \cancel{x}+5-\cancel{x}=\cancel{x}-\cancel{x}}\)

\({:\implies \quad \sf 5=0}\)

\({\because}\) 5 ≠ 0 . So , the equation doesn't have any solution.

Hence , Option A) Zero is correct

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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7^4/7^0

= 7^4/1 (n^0 = 1)

= 7^4

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Answer:

Scale factor is 1:16

Step-by-step explanation:

1.25 x 16 = 20

1.5 x 16 = 24

The image on the wall is 16 times bigger than the image on the slide,
that is why the ratio is 1:16

Răspuns:

1kg mandarină = 4 Lei

1kg struguri = 8 Lei

Explicație pas cu pas:

Având în vedere următoarele:

3 kg struguri + 5 kg mandarine = 44 lei

5 kg struguri + 10 kg mandarine = 80 lei

Cost de 1 kg de struguri și 1 kg de mandarină Fie struguri = g

Fie mandarina = m Prin urmare,

3g + 5m = 44 - - - (1)

5g + 10m = 80 - - - (2)

Înmulțiți (1) cu 5 și (2) cu 3

15g + 25m = 220 - - - (3)

15g + 30m = 240 - - - (4)

Se scade 4 de la 3

-5m = - 20 m

= 20/5

m = 4

Înlocuitor m = 4 în (1)

3g + 5 (4) = 44

3g + 20 = 44

3g = 44 - 20

3g = 24 g

= 8

m = mandarină, 1 kg mandarină = 4 Lei

g = struguri, 1 kg struguri = 8 Lei

\(p-5(p+4) = p-(8-p)\\\\\implies p-5p - 20 = p-8+p\\\\\implies -4p-2p = 20 -8 \\\\\implies -6p = 12 \\\\\implies p = -2\)

The value of FG is 32.

The drawing is attached with this.

Given that,

Value of EF = 11

Value of EG = 21

From the above given data we can assume that F and G be the corner points.

E is the point lie between F and G.

We have to find the value of FG. It may be a straight line.

So,

Value of FG = Value of EF + Value of EG

FG = 11 + 21

FG = 32

That is, the value of FG is 32.

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The expressions are simplified to give;

7. 4n³(3n² + 4)

8. -3x(3x² - 4)

9. 5(k² - 8k + 2)

10. -10(6 + 6n² + 5n³)

11. 3(6n³ - 4n - 7)

12. 9(7n³ + 9n + 2)

Algebraic expressions are defined as mathematical expressions that are composed of variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

To factorize the expressions, we have;

12n⁵ + 16n³

Find the common term

4n³(3n² + 4)

-9x³ - 12x

find the common term

-3x(3x² - 4)

5k² - 40k + 10

find the common terms

5(k² - 8k + 2)

-60 + 60n² + 50n³

find the common term

-10(6 + 6n² + 5n³)

18n³ -12n - 21

find the common term

3(6n³ - 4n - 7)

63n³ + 81n + 18

Find the common term

9(7n³ + 9n + 2)

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